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Finding the Fourth Proportional to 142,907.94, 197,214.96 and 78,382.80

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Solution

The fourth proportional to 142,907.94, 197,214.96 and 78,382.80 is: 108,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,907.94 : 197,214.96 = 78,382.80 : x
  2. Step 2: Convert to fraction form
    142,907.94/197,214.96 = 78,382.80/x
  3. Step 3: Cross multiply
    142,907.94x = 197,214.96 × 78,382.80
  4. Step 4: Simplify right side
    142,907.94x = 15,458,260,766.69
  5. Step 5: Solve for x
    x = 15,458,260,766.69/142,907.94
  6. Step 6: Final answer
    x = 108,169.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.